Answer:
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
Step-by-step explanation:
Correlation coefficient shows the relation between the weights and highway fuel consumption amounts of seven types of automobile.
P-value states the significance of this relationship. If the p-value is lower than a significance level (for example 0.05) then the relation is said to be significant.
The complete statement is:
The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 3.5% which is low so there is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.
The p-value is given as:
[tex]p =0.035[/tex]
Express as percentage
[tex]p =3.5\%[/tex]
This means that the probability that the linear correlation coefficient is at least as extreme is 3.5%.
From the z-table, we have:
[tex]z =1.81[/tex], when the p-value is 0.035
This value of z-score is low, compared to the percentage of the scores have a z-score of between -1 and 1.
So, the p-value implies that it is likely that there is a linear correlation between the variables.
Hence, the texts that complete the three blanks are: "3.5%", "low" and "is"
Read more about p-values at:
https://brainly.com/question/13786078
